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Simplifying (K3 + -6k2 + -34k + 62)(k + -9) = 0 Reorder the terms: (62 + K3 + -34k + -6k2)(k + -9) = 0 Reorder the terms: (62 + K3 + -34k + -6k2)(-9 + k) = 0 Multiply (62 + K3 + -34k + -6k2) * (-9 + k) (62(-9 + k) + K3(-9 + k) + -34k * (-9 + k) + -6k2 * (-9 + k)) = 0 ((-9 * 62 + k * 62) + K3(-9 + k) + -34k * (-9 + k) + -6k2 * (-9 + k)) = 0 ((-558 + 62k) + K3(-9 + k) + -34k * (-9 + k) + -6k2 * (-9 + k)) = 0 (-558 + 62k + (-9 * K3 + k * K3) + -34k * (-9 + k) + -6k2 * (-9 + k)) = 0 (-558 + 62k + (-9K3 + kK3) + -34k * (-9 + k) + -6k2 * (-9 + k)) = 0 (-558 + 62k + -9K3 + kK3 + (-9 * -34k + k * -34k) + -6k2 * (-9 + k)) = 0 (-558 + 62k + -9K3 + kK3 + (306k + -34k2) + -6k2 * (-9 + k)) = 0 (-558 + 62k + -9K3 + kK3 + 306k + -34k2 + (-9 * -6k2 + k * -6k2)) = 0 (-558 + 62k + -9K3 + kK3 + 306k + -34k2 + (54k2 + -6k3)) = 0 Reorder the terms: (-558 + -9K3 + 62k + 306k + kK3 + -34k2 + 54k2 + -6k3) = 0 Combine like terms: 62k + 306k = 368k (-558 + -9K3 + 368k + kK3 + -34k2 + 54k2 + -6k3) = 0 Combine like terms: -34k2 + 54k2 = 20k2 (-558 + -9K3 + 368k + kK3 + 20k2 + -6k3) = 0 Solving -558 + -9K3 + 368k + kK3 + 20k2 + -6k3 = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '558' to each side of the equation. -558 + -9K3 + 368k + kK3 + 20k2 + 558 + -6k3 = 0 + 558 Reorder the terms: -558 + 558 + -9K3 + 368k + kK3 + 20k2 + -6k3 = 0 + 558 Combine like terms: -558 + 558 = 0 0 + -9K3 + 368k + kK3 + 20k2 + -6k3 = 0 + 558 -9K3 + 368k + kK3 + 20k2 + -6k3 = 0 + 558 Combine like terms: 0 + 558 = 558 -9K3 + 368k + kK3 + 20k2 + -6k3 = 558 Add '-368k' to each side of the equation. -9K3 + 368k + kK3 + 20k2 + -368k + -6k3 = 558 + -368k Reorder the terms: -9K3 + 368k + -368k + kK3 + 20k2 + -6k3 = 558 + -368k Combine like terms: 368k + -368k = 0 -9K3 + 0 + kK3 + 20k2 + -6k3 = 558 + -368k -9K3 + kK3 + 20k2 + -6k3 = 558 + -368k Add '-20k2' to each side of the equation. -9K3 + kK3 + 20k2 + -20k2 + -6k3 = 558 + -368k + -20k2 Combine like terms: 20k2 + -20k2 = 0 -9K3 + kK3 + 0 + -6k3 = 558 + -368k + -20k2 -9K3 + kK3 + -6k3 = 558 + -368k + -20k2 Add '6k3' to each side of the equation. -9K3 + kK3 + -6k3 + 6k3 = 558 + -368k + -20k2 + 6k3 Combine like terms: -6k3 + 6k3 = 0 -9K3 + kK3 + 0 = 558 + -368k + -20k2 + 6k3 -9K3 + kK3 = 558 + -368k + -20k2 + 6k3 Reorder the terms: -558 + -9K3 + 368k + kK3 + 20k2 + -6k3 = 558 + -368k + -20k2 + 6k3 + -558 + 368k + 20k2 + -6k3 Reorder the terms: -558 + -9K3 + 368k + kK3 + 20k2 + -6k3 = 558 + -558 + -368k + 368k + -20k2 + 20k2 + 6k3 + -6k3 Combine like terms: 558 + -558 = 0 -558 + -9K3 + 368k + kK3 + 20k2 + -6k3 = 0 + -368k + 368k + -20k2 + 20k2 + 6k3 + -6k3 -558 + -9K3 + 368k + kK3 + 20k2 + -6k3 = -368k + 368k + -20k2 + 20k2 + 6k3 + -6k3 Combine like terms: -368k + 368k = 0 -558 + -9K3 + 368k + kK3 + 20k2 + -6k3 = 0 + -20k2 + 20k2 + 6k3 + -6k3 -558 + -9K3 + 368k + kK3 + 20k2 + -6k3 = -20k2 + 20k2 + 6k3 + -6k3 Combine like terms: -20k2 + 20k2 = 0 -558 + -9K3 + 368k + kK3 + 20k2 + -6k3 = 0 + 6k3 + -6k3 -558 + -9K3 + 368k + kK3 + 20k2 + -6k3 = 6k3 + -6k3 Combine like terms: 6k3 + -6k3 = 0 -558 + -9K3 + 368k + kK3 + 20k2 + -6k3 = 0 The solution to this equation could not be determined.
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